A man had a certain amount with him. He spent 20 % of that to buy an article and 5 % of remaining on

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7.Profit and Loss

hard

A man had a certain amount with him. He spent $20 \%$ of that to buy an article and $5 \%$ of the remaining on transport. Then he gifted $Rs.\,120.$ If he is left with $Rs.\,1,400$ the amount he spent on transport is (in $Rs.$)

A

$76$

B

$61$

C

$95$

D

$80$

Solution

Let, the total amount be $₹ x$

Now, according to the question,

$\therefore \quad x-\frac{x}{5}-\frac{4 x}{5} \times \frac{5}{100}-120=1400$

$\Rightarrow x-\frac{x}{5}-\frac{x}{25}=1520$

$\Rightarrow \frac{25 x-5 x-x}{25}=1520$

$\Rightarrow \frac{19 x}{25}=1520$

$\Rightarrow x=\frac{1520 \times 25}{19}=₹ 2000$

$\therefore \quad$ Expenditure on transport $=\frac{4 x}{5} \times \frac{5}{100}=\frac{x}{25}=\frac{1}{25} \times 2000$

$=Rs. 80$

Standard 13

Quantitative Aptitude

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